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Can you also explain how to figure out f’(3) and g’(3) on the graph? 2. (10 PTS) Given the function f and g below with a scale of 1:1, find the following (a) Find- if(x)·g(x)) for x=3 abc d g(x)...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6)...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
1.Let g(x) = log3(x +3)-1 . d. (3 pts) f(8)-3, the corresponding point on the graph of f(x)is.H...
please show work
1.Let g(x) = log3(x +3)-1 . d. (3 pts) f(8)-3, the corresponding point on the graph of f(x)is.H The transformed point on the graph of g(x) is . e. (2 pts) Find the domain and the range. Write in interval notation. 1d. point on f(x): point on g(x): f. (1 pt) What is the vertical asymptote? That is, as x→ 1e. D: R: 1f. 8. (5 pts) Find the equation of the inverse, g(x). 1g.
1.Let g(x)...
Problem 7. (10 pts) The graph of f'(x) is given below. If f(0) = 5, find...
Problem 7. (10 pts) The graph of f'(x) is given below. If f(0) = 5, find f(x) at I = 2, 2 = 6, and I=10. y f'(x) 3 4 2 5 10 -1 2
2. Problem 2 Let g(z) be a differentiable function defined on is shown below. Also suppose that g...
2. Problem 2 Let g(z) be a differentiable function defined on is shown below. Also suppose that g(2)-3 realnumbers. The graph of its derivative, g'(z), g'(a) Also define the differentiable, odd function hz) on all real numbers. Some values of h(z) are given below 0 12 3 4 5 h(z 02-42 2 (a) Calculate each of the following quantities or, if there isn't enough information, explain why i. (g'(x) +2) dr i.h() da ii. (h'(z) +2z) dr iv. 8h(x) dr...
1. Use the given graph of f(x) to find the following values of the function and...
1. Use the given graph of f(x) to find the following values of the function and limits: 0 (d) (e) (a) (b) (C) f(-3) - 80- f(2)= (4) lim f(x) lim f(x)= lim f(x)- lim f(x)= lim /(x)- lim f(x)= lim f(x)= lim f(x)- lim f(x)= lim /(x)= lim f(x)= 2. Use the given graph of f(x) to find the following values of the function and limits: lim f(x)= x = 1) AD 2 3 (a) (c) (d) e) (b)...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x D...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
Find the exponential function f(x)=a^x whose graph is given. Find the exponential function f(x) = ax...
Find the exponential function f(x)=a^x whose graph is given.
Find the exponential function f(x) = ax whose graph is given. f(x) y 20 (2, 16) 15 10 5 -3 -2 - 1 2 3
Problem 2. (12 pts) The graph of a function fis given below. Answer the questions that...
Problem 2. (12 pts) The graph of a function fis given below. Answer the questions that follow. 110 6 2- 5 -6- - X-2 (i) (6 pts) Find the following limits. If a limit is infinite or does not exist, specify so. (Ipt each) a) lim f(x) = b) lim f(x)= c) limf(x) = d) lim f(x) = e) lim f(x) = g) limf(x) = (2 pts) Does f have any asymptote(s)? If yes, what kind? Write their equations. (iii)...
The graph of a function f is shown below. Find f(1) and find one value of...
The graph of a function f is shown below. Find f(1) and find one value of x for which f(x) = -1. 3 2 (a) (1) - 0 One value of x for which /(x) = -1: (b) 6 ? The graph of a function g is shown below. Use the graph of the function to find its average rate of change from x=7 to x=9. Simplify your answer as much as possible. 6 10 12 14 18 -10
9. (5 pts) A graph of f(x) is below. No formula is given. On the second...
9. (5 pts) A graph of f(x) is below. No formula is given. On the second set of axes, draw the graph of the function g(x) = f(x+2)-1. foxy 3 2 -1 1 12 2 3 4 56 1 2 3 56 -6-5 -4 -3 -2 -1 0 -1 -6 -5 4 3 2 -1 0 -1 -2 2 O -3 -30 4 -4 -5 -6 -5 -6
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
please show work
1.Let g(x) = log3(x +3)-1 . d. (3 pts) f(8)-3, the corresponding point on the graph of f(x)is.H The transformed point on the graph of g(x) is . e. (2 pts) Find the domain and the range. Write in interval notation. 1d. point on f(x): point on g(x): f. (1 pt) What is the vertical asymptote? That is, as x→ 1e. D: R: 1f. 8. (5 pts) Find the equation of the inverse, g(x). 1g.
1.Let g(x)...
Problem 7. (10 pts) The graph of f'(x) is given below. If f(0) = 5, find f(x) at I = 2, 2 = 6, and I=10. y f'(x) 3 4 2 5 10 -1 2
2. Problem 2 Let g(z) be a differentiable function defined on is shown below. Also suppose that g(2)-3 realnumbers. The graph of its derivative, g'(z), g'(a) Also define the differentiable, odd function hz) on all real numbers. Some values of h(z) are given below 0 12 3 4 5 h(z 02-42 2 (a) Calculate each of the following quantities or, if there isn't enough information, explain why i. (g'(x) +2) dr i.h() da ii. (h'(z) +2z) dr iv. 8h(x) dr...
1. Use the given graph of f(x) to find the following values of the function and limits: 0 (d) (e) (a) (b) (C) f(-3) - 80- f(2)= (4) lim f(x) lim f(x)= lim f(x)- lim f(x)= lim /(x)- lim f(x)= lim f(x)= lim f(x)- lim f(x)= lim /(x)= lim f(x)= 2. Use the given graph of f(x) to find the following values of the function and limits: lim f(x)= x = 1) AD 2 3 (a) (c) (d) e) (b)...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
Find the exponential function f(x)=a^x whose graph is given.
Find the exponential function f(x) = ax whose graph is given. f(x) y 20 (2, 16) 15 10 5 -3 -2 - 1 2 3
Problem 2. (12 pts) The graph of a function fis given below. Answer the questions that follow. 110 6 2- 5 -6- - X-2 (i) (6 pts) Find the following limits. If a limit is infinite or does not exist, specify so. (Ipt each) a) lim f(x) = b) lim f(x)= c) limf(x) = d) lim f(x) = e) lim f(x) = g) limf(x) = (2 pts) Does f have any asymptote(s)? If yes, what kind? Write their equations. (iii)...
The graph of a function f is shown below. Find f(1) and find one value of x for which f(x) = -1. 3 2 (a) (1) - 0 One value of x for which /(x) = -1: (b) 6 ? The graph of a function g is shown below. Use the graph of the function to find its average rate of change from x=7 to x=9. Simplify your answer as much as possible. 6 10 12 14 18 -10
9. (5 pts) A graph of f(x) is below. No formula is given. On the second set of axes, draw the graph of the function g(x) = f(x+2)-1. foxy 3 2 -1 1 12 2 3 4 56 1 2 3 56 -6-5 -4 -3 -2 -1 0 -1 -6 -5 4 3 2 -1 0 -1 -2 2 O -3 -30 4 -4 -5 -6 -5 -6
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